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Finding the Third Proportional to 69,502 and 106,440

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Solution

The third proportional to 69,502 and 106,440 is: 163,009.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,502 : 106,440 = 106,440 : x
  2. Step 2: Convert to fraction form
    69,502/106,440 = 106,440/x
  3. Step 3: Cross multiply
    69,502x = 106,440 × 106,440
  4. Step 4: Simplify right side
    69,502x = 11,329,473,600
  5. Step 5: Solve for x
    x = 11,329,473,600/69,502
  6. Step 6: Final answer
    x = 163,009.32

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.